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nth Term of an AP

If 9th term o...

Question

If 9th term of an AP is 15 and the common difference is 2, then the 1st term of the AP is .

A

1

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B

0

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C

-1

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Solution

The correct option is C -1
If the first term is a, the common difference is d and the 9th term is $a_{9}$ , then,
$a_{n} = a + (n - 1) d$
$d = 2$ , $a_{9} = 15$ and $n = 9$
$\Rightarrow a + (9 - 1) 2 = 15$
$\Rightarrow a + 16 = 15$
$a = - 1$

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